DocumentCode
1410293
Title
Some new binary, quasi-cyclic codes
Author
Heijnen, Petra ; Van Tilborg, Henk ; Verhoeff, Tom ; Weijs, Sander
Author_Institution
Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands
Volume
44
Issue
5
fYear
1998
fDate
9/1/1998 12:00:00 AM
Firstpage
1994
Lastpage
1996
Abstract
By means of local search techniques, five quasi-cyclic codes have been found that have a higher minimum distance than known binary linear codes. The new codes have parameters [102,17,37], [60,20,17], [84,21,27], [105,21,36], and [100,25,30]. Also, 39 other quasi-cyclic codes have been found that improve the parameter sets of previously known quasi-cyclic codes. Twenty-four of them give a new and easier description of binary linear codes with best known parameters
Keywords
cyclic codes; linear codes; search problems; binary linear codes; local search techniques; minimum distance; parameter sets; quasi-cyclic codes; Character generation; Linear code; Mathematics; Polynomials; Search methods;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.705580
Filename
705580
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